Abstract regularized equilibria: application to Becker’s household behavior theory

J.X. Cruz Neto, J. O. Lopes, Antoine Soubeyran and João Carlos O. Souza
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J.X. Cruz Neto: UFPI - Universidade Federal do Piauí
J. O. Lopes: UFPI - Universidade Federal do Piauí
João Carlos O. Souza: UFPI - Universidade Federal do Piauí

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Abstract: In this paper, we consider an abstract regularized method with a skew-symmetric mapping as regularization for solving equilibrium problems. The regularized equilibrium problem can be viewed as a generalized mixed equilibrium problem and some existence and uniqueness results are analyzed in order to study the convergence properties of the algorithm. The proposed method retrieves some existing one in the literature on equilibrium problems. We provide some numerical tests to illustrate the performance of the method. We also propose an original application to Becker's household behavior theory using the variational rationality approach of human dynamics.

Keywords: Equilibrium problem; Variational rationality; Desires; Traps; Household behavior; Resource allocation problems (search for similar items in EconPapers)
Date: 2022-09
New Economics Papers: this item is included in nep-upt
Note: View the original document on HAL open archive server: https://amu.hal.science/hal-03544673
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Published in Annals of Operations Research, 2022, 316 (2), pp.1279-1300. ⟨10.1007/s10479-021-04175-0⟩

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Journal Article: Abstract regularized equilibria: application to Becker’s household behavior theory (2022)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-03544673

DOI: 10.1007/s10479-021-04175-0

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